Prime p₀= 1041387463218804587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1041386911799486579	0 12 18 20 38 42 48 92 150 194 200 204 222 224 230 242	-551419318008
STPT(10)	1041387151183219637	0 2 30 32 42 44 54 56 84 86	-312035584950
STPT(10)	1041387312121205681	0 2 30 32 78 80 126 128 156 158	-151097598906
STPT(12)	1041387321915307091	0 2 18 20 60 62 96 98 138 140 156 158	-141303497496
STPT(10)	1041387446785203569	0 2 42 44 60 62 78 80 120 122	-16433601018
SPT(16)	1041387447439327049	0 12 20 68 90 92 98 110 132 144 150 152 174 222 230 242	-15779477538
STPT(10)	1041387483699936557	0 2 30 32 60 62 90 92 120 122	20481131970
SPT(16)	1041387594139403801	0 6 20 30 38 66 72 132 146 206 212 240 248 258 272 278	130920599214
SPT(16)	1041387597604773697	0 4 10 22 42 130 136 172 234 270 276 364 384 396 402 406	134385969110
STPT(12)	1041387713957841527	0 2 12 14 54 56 60 62 102 104 114 116	250739036940
SPT(16)	1041388118295855541	0 102 136 138 142 186 198 208 210 220 232 276 280 282 316 418	655077050954